Davis mechanics is something the late G. Harry Stein wrote about. Regrettably, the one time I met him I didn't have the nerve to ask him for more details.
The story as I recall it ...
Back in the 1960s engineer Stein and mathematician Davis (his boss) worked for an aerospace company were asked to examine the Dean Drive. They were not impressed with Dean, but wondered IF it did work, how could it work?
Davis postulated a change in Newtonian mechanics (what change? That's what I wanted to ask Mr Stein) that used the third derivitive of position (velocity is the first, acceleration is the second) to convert rotary momentum into linear momentum. They made some test jigs, but the results were inconclusive.
They asked the physicist Henri Coanda (the father of fluidics) to take look at their equations. Supposedly he was able to derive the Plank's length (quantum length) and Reynolds numbers (Reynolds numbers are empirical "fudge factors" in aerodynamics).
Davis, Coanda, and Stein are all dead and they didn't publish. Curiously, Dr Robert Forward once pointed out that converting angular to linear momentum could be a "legal" reactionless drive.
[This message has been edited by Uncle Bob (edited 24 May 2002).]